Table 13 Correctly Predicted-Accepted (CPA) and Incorrectly Predicted-Rejected (IPR) under FGSM and PGD adversarial attacks across uncertainty measures.

From: Detection of AI generated images using combined uncertainty measures and particle swarm optimised rejection mechanism

Dataset

Uncertainty Measure

CPA

IPR

FGSM \(\epsilon =0.01\)

Total Fisher Information

97.30

2.63

 

Fisher Frobenius Norm

97.32

2.77

 

Fisher Entropy

97.62

9.59

 

Gaussian Process

94.80

50.84

 

Entropy of Expected

100.00

46.86

 

Knowledge Uncertainty

100.00

41.98

 

Combined Uncertainty

91.70

42.94

FGSM \(\epsilon =0.03\)

Total Fisher Information

95.02

3.73

 

Fisher Frobenius Norm

95.11

3.74

 

Fisher Entropy

95.54

9.00

 

Gaussian Process

92.92

67.07

 

Entropy of Expected

100.00

46.15

 

Knowledge Uncertainty

100.00

46.01

 

Combined Uncertainty

91.84

52.97

FGSM \(\epsilon =0.05\)

Total Fisher Information

93.81

3.33

 

Fisher Frobenius Norm

93.96

3.31

 

Fisher Entropy

95.48

4.95

 

Gaussian Process

91.34

65.08

 

Entropy of Expected

100.00

48.99

 

Knowledge Uncertainty

100.00

51.29

 

Combined Uncertainty

91.78

50.68

PGD \(\epsilon =0.01\)

Total Fisher Information

0.00

100.00

 

Fisher Frobenius Norm

0.00

100.00

 

Fisher Entropy

100.00

0.02

 

Gaussian Process

69.96

99.73

 

Entropy of Expected

100.00

27.79

 

Knowledge Uncertainty

100.00

24.50

 

Combined Uncertainty

93.74

74.72

PGD \(\epsilon =0.03\)

Total Fisher Information

0.00

100.00

 

Fisher Frobenius Norm

0.00

100.00

 

Fisher Entropy

0.00

100.00

 

Gaussian Process

78.21

100.00

 

Entropy of Expected

100.00

28.31

 

Knowledge Uncertainty

100.00

24.75

 

Combined Uncertainty

92.74

73.10

PGD \(\epsilon =0.05\)

Total Fisher Information

0.00

100.00

 

Fisher Frobenius Norm

0.00

100.00

 

Fisher Entropy

99.98

0.00

 

Gaussian Process

77.97

100.00

 

Entropy of Expected

100.00

28.46

 

Knowledge Uncertainty

100.00

25.05

 

Combined Uncertainty

91.23

74.03

  1. Bold values indicate the highest Correctly Predicted-Accepted (CPA) and highest Incorrectly Predicted-Rejected (IPR) rates.